gits long. 1. How many choices are there if you may use a number multiple times and the order matters? 2. How many choices are there if you may not use a number multiple times and the order matters? 3. How many choices are there if you may not use a number multiple times and the order does not matter?

Q: Say, there are 4 types of Frozens (F1, F2, F3, F4) at a cafe shop and you'll buy 5 Frozens. How many…

A: Given that there are 4 types of Frozens at the shop: F1, F2, F3, F4  and we need to buy 5 Frozens.…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: 1. Larry had 1/3 as many balls as Andy. Andy gave 8 balls to Larry so that they would each have the…

A:

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

Q: 47: Suppose a poker hand is dealt to an engineer at a casino and the engineer would like to know…

A:

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

Q: 36. The price of a European tour includes four stopovers to be selected from among 10 cities. In how…

A: If the order of stopovers matters then we use permutation to choose 4 stopovers among 10 cities,…

Q: There are 15 married couples in a dressing room. The photographer is tasked to take a picture of…

A: We need to find the number of people who must be called out of the room so that he is sure that…

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A:

Q: In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit…

A: Given,no.of boys=3no.of girls=3total no.of peoples=6

Q: A student is to answer 10 out of 13 questions in an examination. (a) How many choices has he?- (b)…

A: Answer: From the given data,

Q: 3. Answer the following: (i) In how many ways can 3 boys and 2 girls sit in a row? (ii) In how many…

A: Here will use the concept of permutations and arrangment Given that  Number of boys = 3 Number of…

Q: You have 19 pieces of candy to distribute to 7 people. How many ways are there to distribute the…

A: Total number of pieces of candy is 19. Total number of person is 7.

Q: . In how many ways can the letters of the word greengate be arranged? (b). A class has 10 students.…

A:

Q: 13b) Suppose the number of permutations without replacement is 720 and the number of combinations…

A:

Q: Solve the following probiems: 1. If 58 out of 100 students in a school are boys, then write a…

A:

Q: If the first chapter of a certain book is 30 pages long and makes up 10% of the book, how many pages…

A: Given that, the first chapter of a certain book is 30 pages long and makes up 10% of the book.

Q: 7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen to…

A:

Q: Solve the following: 13) A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many…

A: As per our guidelines we are suppose to answer only three subparts GivenNo.of green balls=5No.of…

Q: 7. A computer programming team has 13 members.

A:

Q: Classify the problem as a permutation, a combination, or neither.   At Mr. Furry's Dance Studio,…

A: GivenNo.of men=5No.of women=8

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: There are five men and three women in a room. How many committees of 4 people can be chosen from the…

A:

Q: My grandson likes to play with cards (he always includes the jokers). First he drops the deck of…

A: Given information:Child always picks up at least 1 card, but he could pick up 1, all 54, or any…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many ways can they be…

A: Given problem Given that   Four married couples have bought 8 seats in the same row for a concert.…

Q: Determine whether the given problem/situation isn a combination or not. Write C if it is a…

A: here use definition of combination  combination is used for counting in which object's order does…

Q: d. How many ways can five letters of the word EMULATOR be selected and written in a row if the…

A:

Q: 14.How many ways can a student select five questions from an exam containing 12 questions, if one of…

A: We know that: combination formula is given by,  nCr=n!r!n-1 !Where:    C=Number of combinations…

Q: a bag contains 6 red balls and 4 white balls. In how many ways can one draw: a. 2 white balls b. 2…

A:

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Given we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and…

Q: A student is to answer 10 out of 13 questions on an exam. (i) How many choices has he? (ii) How many…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: 10. Five Filipino, four Canadians, and four Brazilians are to sit at a circular table. In how many…

A:

Q: 2. A certain ice cream store has 31 flavours of ice cream available. In how many ways can we order a…

A: Given,store has 31 flavours of ice creamand we are buying 12 ice cream.

Q: Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must…

A: Eight freshmen and eight sophomores want to play flag football a flag foot- ball team must have…

Q: 2- The Swansons are planning to fly to Hawaii from Toronto with a stopover in Los Angeles. There are…

A: According to the provided information, five flights they can take between Toronto and Los Angeles…

Q: 1. Suppose you work at a music store and have four CDs you wish to arrange from left to right on a…

A: For n different item, there are n! ways to arrange them,  Here we have four CDs we wish to arrange…

Q: H.W. a) In how many ways can 3 boys and 3 girls sit in a row? b) In how many ways can 3 boys and 3…

A: As per the Bartleby guideline if more than three subparts is asked only first three to be answered…

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A:

Q: An instructor gives an exam with fifteen questions. Students are allowed to choose any eleven to…

A: c) We can select 11 questions from 15 questions in 15C11 = 1365 ways   Then we find the total number…

Q: An instructor gives an exam with twenty questions. Students are allowed to choose any fifteen…

A:

Q: 15. There are 3 ways to get from Town A to Town B, 4 ways to get from Town B to Town C, and another…

A: Given Number of ways to get from town A to B = 3 ways Number of ways to get from town B to C = 4…

Q: 2/9 of the students in a school are in the sixth grade. How many sixth graders are there if the…

A: Given,29of the students in a school are in the    sixth grade    Total number of students =27

Q: 13. How many ways can you pick a team of 6 people from a group of 20? a. 38 760 b. 37 860 C. 36 780…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Represent the problem with Venn diagram and answer the question based on the diagram. Twenty-four…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: Sarah has ten colored pencils that are all unique. She wants to pick three colored pencils from her…

A: Given that  Sarah has ten colored pencils that are all unique. She wants to pick three colored…

Q: 20 politicians are having a tea party, 6 Democrats and 14 Republicans. To prepare, they need to…

A: The number of democrats in a tea party is 6. The number of republican leader in tea party is 14.…

Q: A student is to answer 10 out of 13 questions on an exam. (i) How many if he must answer exactly 3…

A: It is an important part of statistics . It is widely used .

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Given : 3 objects ( pencil , eraser , desk) to find :  In how many ways 2 object can be choosen…

Q: 02)• 20 students and the dean came to the cinema and want to sit in the same row, in which there are…

A: Given that, 20 students and the dean came to the cinema and want to sit in the same row, in which…

Q: Suppose you need to enter a 4 digit code to enter a room. d How many such codes have exactly 1…

A: Question (d): Since no other condition is given, we consider we can use any of the ten digits…